Tomographic Reconstruction of the Curl and Divergence of 2D Vector Fields Taking Refractions into Account

DOI10.1137/100786770zbMath1208.65179OpenAlexW1980619755MaRDI QIDQ3077124

Tim Pfitzenreiter, Thomas Schuster

Publication date: 22 February 2011

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/490e2d801f0c53066a38c5dc99dd6227a5c9e786

zbMATH Keywords

curlRiemannian metricRadon transformnumerical examplesvector fielddivergencetomographyFourier integral operatorsfiltered backprojectionindex of refractionasymptotic reconstruction formulalongitudinal and transversal ray transformultrasound time-of-flight measurements

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Radon transform (44A12) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32)

Related Items (6)

The attenuated geodesic x-ray transform ⋮ Approximate reconstruction from ray integrals of a function on a domain with low refraction ⋮ Approximate Inversion of a Class of Generalized Radon Transforms ⋮ A numerical solver based on \(B\)-splines for 2D vector field tomography in a refracting medium ⋮ A modified algebraic reconstruction technique taking refraction into account with an application in terahertz tomography ⋮ On the Range Characterization of the Two-Dimensional Attenuated Doppler Transform

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